Tan 49 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

What is tan 49°?

Answer

tan 49° ≈
1.1504

Angle in radians: 49° = 49π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 49° can't be written with square roots: 49° is not a multiple of 3°.

tan 49° = sin 49° / cos 49° ≈ 1.1504

xyOP

P(cos 49°, sin 49°) ≈ (0.6561, 0.7547)

T(1, tan 49°) ≈ (1, 1.1504) — where line OP meets the line x = 1.

All four functions of 49°
FunctionExact valueDecimal
sin 49°—≈ 0.7547
cos 49°—≈ 0.6561
tan 49°—≈ 1.1504
cot 49°—≈ 0.8693

See Also

FAQ

What is tan 49°?

tan 49° ≈ 1.1504

Why does tan 49° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 49° is not, so no such exact form exists; the value is used as a decimal: tan 49° ≈ 1.1504.

Why does a calculator show −3.1729 for tan 49?

The calculator is in radian mode (RAD): it takes tan 49 as the tangent of 49 radians, tan 49 rad ≈ −3.1729. Switch it to degrees (DEG): tan 49° ≈ 1.1504. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.